Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 492/482,793/921,499/582
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 492,793,499
Greatest Common Factor of Numerators i.e. GCF of 492,793,499 is 1 .
LCM of Denominators means LCM of 482,921,582 as per the given fractions.
LCM of 482,921,582 is 43060434 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 492,793,499
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 492
List of positive integer factors of 492 that divides 492 without a remainder.
1,2,3,4,6,12,41,82,123,164,246,492
Factors of 793
List of positive integer factors of 793 that divides 793 without a remainder.
1,13,61,793
Factors of 499
List of positive integer factors of 499 that divides 499 without a remainder.
1,499
Greatest Common Factor
We found the factors 492,793,499 . The biggest common factor number is the GCF number.
So the greatest common factor 492,793,499 is 1.
Lets's calculate LCM of 482,921,582
2 | 482, 921, 582 |
3 | 241, 921, 291 |
241, 307, 97 |
∴ So the LCM of the given numbers is 2 x 3 x 241 x 307 x 97 = 43060434
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/43060434
Therefore, the GCF of Fractions 492/482,793/921,499/582 is 1/43060434
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 482,921,582 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(482,921,582) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(482,921,582) x common factors =1 x 6 = 6
LCM(482,921,582) = ( 482 × 921 × 582 ) / 6
LCM(482,921,582) = 258362604 / 6
LCM(482,921,582) = 43060434
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
2. What is the GCF of Fractions for 492/482, 793/921, 499/582?
Answer: GCF of Numerators as per given numbers 492/482, 793/921, 499/582 is
GCF of Numerators i.e. for 492,793,499 is 1
LCM of denominators i.e. for 482,921,582 is 43060434.
Thus, GCF of Fractions is 1/43060434.Finally, GCF of Fractions for 492/482, 793/921, 499/582 is 1/43060434.